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1143922963968 = 2934371514937
BaseRepresentation
bin10000101001010111000…
…111110011011000000000
311001100122221212112010000
4100221113013303120000
5122220223234321333
62233302211040000
7145434322522041
oct20512707633000
94040587775100
101143922963968
11401153766a14
121658495a0000
1383b43818c95
143d51aa948c8
151eb51a92713
hex10a571f3600

1143922963968 has 400 divisors, whose sum is σ = 3530524862304. Its totient is φ = 368470425600.

The previous prime is 1143922963951. The next prime is 1143922963969. The reversal of 1143922963968 is 8693692293411.

1143922963968 is a `hidden beast` number, since 1 + 1 + 439 + 22 + 96 + 3 + 96 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143922963969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231701596 + ... + 231706532.

Almost surely, 21143922963968 is an apocalyptic number.

1143922963968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1143922963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765262431152).

1143922963968 is an abundant number, since it is smaller than the sum of its proper divisors (2386601898336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1143922963968 is an equidigital number, since it uses as much as digits as its factorization.

1143922963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5130 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 1143922963968 in words is "one trillion, one hundred forty-three billion, nine hundred twenty-two million, nine hundred sixty-three thousand, nine hundred sixty-eight".